Localization and criticality in antiblockaded 2D Rydberg atom arrays
arXiv:2012.03946 · doi:10.1103/PhysRevLett.128.013603
Abstract
Controllable Rydberg atom arrays have provided new insights into fundamental properties of quantum matter both in and out of equilibrium. In this work, we study the effect of experimentally relevant positional disorder on Rydberg atoms trapped in a 2D square lattice under anti-blockade (facilitation) conditions. We show that the facilitation conditions lead the connectivity graph of a particular subspace of the full Hilbert space to form a 2D Lieb lattice, which features a singular flat band. Remarkably, we find three distinct regimes as the disorder strength is varied: a critical regime, a delocalized but nonergodic regime, and a regime with a disorder-induced flat band. The critical regime's existence depends crucially upon the singular flat band in our model, and is absent in any 1D array or ladder system. We propose to use quench dynamics to probe the three different regimes experimentally.
12.5 pages, 10 figures. PRL accepted version
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- Two dimensional vertex-decorated Lieb lattice with exact mobility edges and robust flat bands
- Quantum slush state in Rydberg atom arrays
- Avalanche terahertz photon detection in a Rydberg tweezer array
- Coherent spin-phonon scattering in facilitated Rydberg lattices
- Expanding Hardware-Efficiently Manipulable Hilbert Space via Hamiltonian Embedding
- Facilitation Induced Transparency and Single Photon Switch with Dual-Channel Rydberg Interactions
- Dynamics of antiferromagnetic Dimers in Rydberg Atom Chains
- Engineering the non-Hermitian Su-Schrieffer-Heeger model with skin effects in Rydberg atom arrays